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Chapter 13: Q. 36 (page 855)

Stacking Boxes In how many ways can 5 different boxes be stacked?

Short Answer

Expert verified

There are 120 ways to stack 5 boxes.

Step by step solution

01

Step 1. Given information.

Total number of boxes is 5.

We need to stack them in a line.

02

Step 2. Determine the possible ways of arrangement.

This is an example of a permutation without repetition.

Permutation formula is:

P(n,r)=n!(n-r)!

The number of ways to arrange 5 boxes is P(5,5).

P(5,5)=5!(5-5)!=5!0!=5路4路3路2路11=120

03

Step 3. Conclusion.

There are 120 ways to stack 5 boxes.

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